Question

How do you prove `(1-cosx)/sinx=sinx/(1+cosx)`?

Answer 1

Please see below.

Explanation:

`(1-cosx)/sinx`

= `(1-cosx)/sinx xx(1+cosx)/(1+cosx)`

= `(1-cos^2x)/(sinx(1+cosx)`

= `sin^2x/(sinx(1+cosx)`

= `sinx/(1+cosx)`